My Math Forum take home trig final..need help to pass the class!

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 December 16th, 2009, 02:24 PM #1 Newbie   Joined: Sep 2009 Posts: 13 Thanks: 0 take home trig final..need help to pass the class! So this is my final. My teacher literally did NOT teach all semester it was horrible and the worst professor I have ever had! Asking for some help. Would love to just pass this class because I need it for my major. I got it about 70 percent done but I am stuck on a few problems. Was hoping someone could show me how to do them and make sure I get the right answer so I pass! Thanks everyone. The weird symbols that came through funky are the theta sign. 1.) Problem 1 (6 pts.). The minute hand of a clock is 15.6 cm in length. How far does the tip move in 40 minutes? I got : 32.66 2.) Problem 2 (6 pts.). Two pigeons fly off Nelson’s Column. The first flies 3.7 km due east and lands on the Tower of London. The other flies 0.9 km due south and lands on Westminister Abbey. How far apart are Westminister Abbey and the Tower of London? I got: 3.8 km 3.) A flagpole casts a 42.0-foot shadow. If the angle of elevation of the sun is 57.4, what is the height of the flagpole? I got: 65.67 ft 5.) The terminal ray for the angle  is in the second quadrant. If cos() = ?1/5 what is sin()? (the weird symbols it put in is the theta symbol idk how to show that here) This is the one I couldn't figure out. 7.) Two ships leave port. The first ship travels 200 miles with a bearing of 30degrees North of West. The second ship travels 300 miles bearing due North. How far apart are the two ships? 160 miles is what I got. 8.) calculate exact expressions for cos(pi/12) and sin(pi/12). I got : 1/4 (sqrt(2)+sqrt(6) for cos and for sin I got : -1+sqrt(3)/2 sqrt(2)
 December 16th, 2009, 03:36 PM #2 Member   Joined: Oct 2009 From: honolulu Posts: 52 Thanks: 0 Re: take home trig final..need help to pass the class! the circumference of the clock is $15.6 x 2\pi$which is $\approx$$98.8cm$ the tip moves $40min$ which is $\frac{2}{3}$ of $60min$ or $\frac{2}{3}$ of the circumference so $\frac{2}{3} \times 98.8cm\approx 65.3cm$ you need to try these before we help especially if it is a take home test
 December 16th, 2009, 04:07 PM #3 Newbie   Joined: Sep 2009 Posts: 13 Thanks: 0 Re: take home trig final..need help to pass the class! really need help on 5
 December 17th, 2009, 09:56 PM #4 Member   Joined: Oct 2009 From: honolulu Posts: 52 Thanks: 0 Re: take home trig final..need help to pass the class! since$\cos{\theta}$ is $\frac{adj}{hyp}$ then from $\cos{{\left(\frac{-1}{5}\right)}$ using the phythgarium $5^2 - (-1)^2= 24$ so sin = $(2\sqrt{6})$ so $\sin{\theta}= \frac{2\sqrt{6}}{5}$ btw the latex for $\theta$ is \theta
 December 17th, 2009, 10:10 PM #5 Global Moderator   Joined: Dec 2006 Posts: 20,978 Thanks: 2229 The answers for problem 8 are correct if by "-1+sqrt(3)/2 sqrt(2)" you mean "-1+sqrt(3)/(2 sqrt(2))". The second answer can be written as (?6 - ?2)/4.

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